Problem 9. Consider a problem with three agents and three objects and preferences given by: 1 X2 Z3 0 o1 02 02 03 03 O3 09 01 Find the outcome of RSD and PS. Verify that PS is envy-free and RSD is not. Now suppose that >, instead is 03 >} 01 >] 03. Find the outcome of PS and show that there exists a utility function v; : O* R representing the original >, in the table such that the expected value of v; is higher under the second PS outcome than under the first